Research Article
A New Class of Difference Methods with Intrinsic Parallelism for Burgers–Fisher Equation
Table 8
The absolute error for
, , and
.
| | | Analytic solution | ADM | PASE-I scheme | Solution | AE | Solution | AE |
| 0.1 | 0.005 | 0.499989 | 0.499979 | 9.68763e − 06 | 0.499988 | 7.44768e − 07 | 0.001 | 0.499987 | 0.499986 | 1.93753e − 06 | 0.499987 | 3.50250e − 12 | 0.010 | 0.499990 | 0.499971 | 1.93752e − 05 | 0.499990 | 4.94485e − 07 |
| 0.5 | 0.005 | 0.499939 | 0.499929 | 9.68691e − 06 | 0.499939 | 2.49842e − 07 | 0.001 | 0.499938 | 0.499936 | 1.93738e − 06 | 0.499938 | 2.12405e − 11 | 0.010 | 0.499940 | 0.499921 | 1.93738e − 05 | 0.499940 | 3.18600e − 10 |
| 0.9 | 0.005 | 0.499889 | 0.499879 | 9.68619e − 06 | 0.499889 | 2.45126e − 07 | 0.001 | 0.499888 | 0.499886 | 1.93724e − 06 | 0.499888 | 4.59810e − 11 | 0.010 | 0.499890 | 0.499871 | 1.93724e − 05 | 0.499890 | 4.95285e − 07 |
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